%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE022+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:28:06 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE022+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n020.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:10:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.test (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.zero $$unsorted) % 0.38/0.62 (declare-const tptp.one $$unsorted) % 0.38/0.62 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t3 () (tptp.addition @t1 @t2)) % 0.38/0.62 (define @t4 () (@list @t1 @t2)) % 0.38/0.62 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t6 () (tptp.addition @t2 @t5)) % 0.38/0.62 (define @t7 () (@list @t1)) % 0.38/0.62 (define @t8 () (tptp.addition @t1 @t1)) % 0.38/0.62 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.38/0.62 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.38/0.62 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.38/0.62 (define @t12 () (@list @t1 @t2 @t5)) % 0.38/0.62 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.38/0.62 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.38/0.62 (define @t15 () (tptp.multiplication tptp.one @t1)) % 0.38/0.62 (define @t16 () (forall @t7 (= @t15 @t1))) % 0.38/0.62 (define @t17 () (tptp.multiplication @t1 @t5)) % 0.38/0.62 (define @t18 () (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 0.38/0.62 (define @t19 () (tptp.leq @t1 @t2)) % 0.38/0.62 (define @t20 () (= @t19 (= @t3 @t2))) % 0.38/0.62 (define @t21 () (forall @t4 @t20)) % 0.38/0.62 (define @t22 () (@var "X0" $$unsorted)) % 0.38/0.62 (define @t23 () (@var "X1" $$unsorted)) % 0.38/0.62 (define @t24 () (tptp.complement @t23 @t22)) % 0.38/0.62 (define @t25 () (@list @t23)) % 0.38/0.62 (define @t26 () (exists @t25 @t24)) % 0.38/0.62 (define @t27 () (tptp.test @t22)) % 0.38/0.62 (define @t28 () (= @t27 @t26)) % 0.38/0.62 (define @t29 () (@list @t22)) % 0.38/0.62 (define @t30 () (forall @t29 @t28)) % 0.38/0.62 (define @t31 () (tptp.addition @t22 @t23)) % 0.38/0.62 (define @t32 () (tptp.multiplication @t23 @t22)) % 0.38/0.62 (define @t33 () (tptp.multiplication @t22 @t23)) % 0.38/0.62 (define @t34 () (and (= @t33 tptp.zero) (= @t32 tptp.zero) (= @t31 tptp.one))) % 0.38/0.62 (define @t35 () (= @t24 @t34)) % 0.38/0.62 (define @t36 () (@list @t22 @t23)) % 0.38/0.62 (define @t37 () (forall @t36 @t35)) % 0.38/0.62 (define @t38 () (tptp.complement @t22 @t23)) % 0.38/0.62 (define @t39 () (tptp.c @t22)) % 0.38/0.62 (define @t40 () (= (= @t39 @t23) @t38)) % 0.38/0.62 (define @t41 () (=> @t27 @t40)) % 0.38/0.62 (define @t42 () (forall @t36 @t41)) % 0.38/0.62 (define @t43 () (not @t27)) % 0.38/0.62 (define @t44 () (tptp.addition @t33 (tptp.multiplication @t22 (tptp.c @t23)))) % 0.38/0.62 (define @t45 () (and (tptp.leq @t22 @t44) (tptp.leq @t44 @t22))) % 0.38/0.62 (define @t46 () (tptp.test @t23)) % 0.38/0.62 (define @t47 () (forall @t36 (=> @t46 @t45))) % 0.38/0.62 (define @t48 () (not @t47)) % 0.38/0.62 (define @t49 () (forall @t36 (or (not @t46) @t45))) % 0.38/0.62 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.38/0.62 (define @t51 () (@quantifiers_skolemize @t49 1)) % 0.38/0.62 (define @t52 () (tptp.c @t51)) % 0.38/0.62 (define @t53 () (tptp.addition (tptp.multiplication @t50 @t51) (tptp.multiplication @t50 @t52))) % 0.38/0.62 (define @t54 () (tptp.leq @t53 @t50)) % 0.38/0.62 (define @t55 () (tptp.leq @t50 @t53)) % 0.38/0.62 (define @t56 () (and @t55 @t54)) % 0.38/0.62 (define @t57 () (tptp.test @t51)) % 0.38/0.62 (define @t58 () (not @t57)) % 0.38/0.62 (define @t59 () (or @t58 @t56)) % 0.38/0.62 (define @t60 () (@list true)) % 0.38/0.62 (define @t61 () (@list @t59)) % 0.38/0.62 (define @t62 () (tptp.leq @t50 @t50)) % 0.38/0.62 (define @t63 () (= @t50 (tptp.addition @t50 @t50))) % 0.38/0.62 (define @t64 () (forall @t4 (= @t19 (= @t2 @t3)))) % 0.38/0.62 (define @t65 () (= @t62 @t63)) % 0.38/0.62 (define @t66 () (= @t63 @t62)) % 0.38/0.62 (define @t67 () (@list false)) % 0.38/0.62 (define @t68 () (@list @t50)) % 0.38/0.62 (define @t69 () (@list false false)) % 0.38/0.62 (define @t70 () (forall @t25 (not (tptp.complement @t23 @t51)))) % 0.38/0.62 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.38/0.62 (define @t72 () (@list @t51 @t71)) % 0.38/0.62 (define @t73 () (not @t70)) % 0.38/0.62 (define @t74 () (= @t57 @t73)) % 0.38/0.62 (define @t75 () (tptp.complement @t71 @t51)) % 0.38/0.62 (define @t76 () (not @t75)) % 0.38/0.62 (define @t77 () (not @t76)) % 0.38/0.62 (define @t78 () (= tptp.one (tptp.addition @t51 @t71))) % 0.38/0.62 (define @t79 () (= tptp.zero (tptp.multiplication @t71 @t51))) % 0.38/0.62 (define @t80 () (= tptp.zero (tptp.multiplication @t51 @t71))) % 0.38/0.62 (define @t81 () (and @t80 @t79 @t78)) % 0.38/0.62 (define @t82 () (= @t75 @t81)) % 0.38/0.62 (define @t83 () (not @t81)) % 0.38/0.62 (define @t84 () (@list @t81)) % 0.38/0.62 (define @t85 () (= @t23 @t39)) % 0.38/0.62 (define @t86 () (= @t38 @t85)) % 0.38/0.62 (define @t87 () (tptp.complement @t51 @t71)) % 0.38/0.62 (define @t88 () (= @t87 (= @t71 @t52))) % 0.38/0.62 (define @t89 () (or @t58 @t88)) % 0.38/0.62 (define @t90 () (forall @t36 (or @t43 @t86))) % 0.38/0.62 (define @t91 () (= @t52 @t71)) % 0.38/0.62 (define @t92 () (= @t87 @t91)) % 0.38/0.62 (define @t93 () (or @t58 @t92)) % 0.38/0.62 (define @t94 () (= tptp.one (tptp.addition @t71 @t51))) % 0.38/0.62 (define @t95 () (and @t79 @t80 @t94)) % 0.38/0.62 (define @t96 () (= @t87 @t95)) % 0.38/0.62 (define @t97 () (tptp.addition @t51 @t52)) % 0.38/0.62 (define @t98 () (tptp.multiplication @t50 @t97)) % 0.38/0.62 (define @t99 () (= @t98 @t53)) % 0.38/0.62 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.38/0.62 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.38/0.62 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.38/0.62 (assume @p4 @t9) % 0.38/0.62 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.38/0.62 (assume @p6 @t14) % 0.38/0.62 (assume @p7 @t16) % 0.38/0.62 (assume @p8 @t18) % 0.38/0.62 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 0.38/0.62 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.38/0.62 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.38/0.62 (assume @p12 @t21) % 0.38/0.62 (assume @p13 @t30) % 0.38/0.62 (assume @p14 @t37) % 0.38/0.62 (assume @p15 @t42) % 0.38/0.62 (assume @p16 (forall @t29 (=> @t43 (= @t39 tptp.zero)))) % 0.38/0.62 (assume @p17 @t48) % 0.38/0.62 (assume @p18 true) % 0.38/0.62 (step @p19 :rule bool-impl-elim :args (@t46 @t45)) % 0.38/0.62 (step @p20 :rule cong :premises (@p19) :args (@t47)) % 0.38/0.62 (step @p21 :rule cong :premises (@p20) :args (@t48)) % 0.38/0.62 (step @p22 :rule eq_resolve :premises (@p17 @p21)) % 0.38/0.62 (step @p23 :rule skolemize :premises (@p22)) % 0.38/0.62 (step @p24 :rule cnf_or_neg :args (@t59 1)) % 0.38/0.62 (step @p25 :rule chain_m_resolution :premises (@p24 @p23) :args ((not @t56) @t60 @t61)) % 0.38/0.62 (step @p26 :rule eq-symm :args (@t3 @t2)) % 0.38/0.62 (step @p27 :rule refl :args (@t19)) % 0.38/0.62 (step @p28 :rule cong :premises (@p27 @p26) :args (@t20)) % 0.38/0.62 (step @p29 :rule cong :premises (@p28) :args (@t21)) % 0.38/0.62 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.38/0.62 (step @p31 :rule eq-symm :args (@t62 @t63)) % 0.38/0.62 (step @p32 :rule refl :args (@t64)) % 0.38/0.62 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t64 @t65))) % 0.38/0.62 (assume-push @p177 @t64) % 0.38/0.62 (step @p35 :rule instantiate :premises (@p30) :args ((@list @t50 @t50))) % 0.38/0.62 (step-pop @p178 :rule scope :premises (@p35)) % 0.38/0.62 (step @p36 :rule process_scope :premises (@p178) :args (@t65)) % 0.38/0.62 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.38/0.62 (step @p39 :rule implies_elim :premises (@p38)) % 0.38/0.62 (step @p40 :rule chain_m_resolution :premises (@p39 @p30) :args (@t66 @t67 (@list @t64))) % 0.38/0.62 (step @p41 :rule eq-symm :args (@t8 @t1)) % 0.38/0.62 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.38/0.62 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.38/0.62 (step @p44 :rule instantiate :premises (@p43) :args (@t68)) % 0.38/0.62 (step @p45 :rule cnf_equiv_pos1 :args (@t66)) % 0.38/0.62 (step @p46 :rule reordering :premises (@p45) :args ((or @t62 (not @t63) (not @t66)))) % 0.38/0.62 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40) :args (@t62 @t69 (@list @t63 @t66))) % 0.38/0.62 (step @p48 :rule true_intro :premises (@p47)) % 0.38/0.62 (step @p49 :rule eq-symm :args (@t13 @t1)) % 0.38/0.62 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.38/0.62 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 0.38/0.62 (step @p52 :rule instantiate :premises (@p51) :args (@t68)) % 0.38/0.62 (step @p53 :rule symm :premises (@p52)) % 0.38/0.62 (step @p54 :rule eq-symm :args (@t31 tptp.one)) % 0.38/0.62 (step @p55 :rule eq-symm :args (@t32 tptp.zero)) % 0.38/0.62 (step @p56 :rule eq-symm :args (@t33 tptp.zero)) % 0.38/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t34)) % 0.38/0.62 (step @p58 :rule refl :args (@t24)) % 0.38/0.62 (step @p59 :rule cong :premises (@p58 @p57) :args (@t35)) % 0.38/0.62 (step @p60 :rule cong :premises (@p59) :args (@t37)) % 0.38/0.62 (step @p61 :rule eq_resolve :premises (@p14 @p60)) % 0.38/0.62 (step @p62 :rule instantiate :premises (@p61) :args (@t72)) % 0.38/0.62 (step @p63 :rule exists-elim :args ((= @t26 (not (forall @t25 (not @t24)))))) % 0.38/0.62 (step @p64 :rule refl :args (@t27)) % 0.38/0.62 (step @p65 :rule cong :premises (@p64 @p63) :args (@t28)) % 0.38/0.62 (step @p66 :rule cong :premises (@p65) :args (@t30)) % 0.38/0.62 (step @p67 :rule eq_resolve :premises (@p13 @p66)) % 0.38/0.62 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t51))) % 0.38/0.62 (step @p69 :rule bool-double-not-elim :args (@t57)) % 0.38/0.62 (step @p70 :rule refl :args (@t59)) % 0.38/0.62 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t59 (not @t58)))) % 0.38/0.62 (step @p72 :rule cnf_or_neg :args (@t59 0)) % 0.38/0.62 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.62 (step @p74 :rule reordering :premises (@p73) :args ((or @t57 @t59))) % 0.38/0.62 (step @p75 :rule chain_m_resolution :premises (@p74 @p23) :args (@t57 @t60 @t61)) % 0.38/0.62 (step @p76 :rule cnf_equiv_pos1 :args (@t74)) % 0.38/0.62 (step @p77 :rule reordering :premises (@p76) :args ((or @t58 @t73 (not @t74)))) % 0.38/0.62 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p68) :args (@t73 @t69 (@list @t57 @t74))) % 0.38/0.62 (step @p79 :rule refl :args (@t75)) % 0.38/0.62 (step @p80 :rule bool-double-not-elim :args (@t70)) % 0.38/0.62 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t73) @t75))) % 0.38/0.62 (step @p82 :rule bool-double-not-elim :args (@t75)) % 0.38/0.62 (step @p83 :rule refl :args (@t73)) % 0.38/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t73 @t77))) % 0.38/0.62 (assume-push @p179 @t73) % 0.38/0.62 (step @p86 :rule skolemize :premises (@p78)) % 0.38/0.62 (step-pop @p180 :rule scope :premises (@p86)) % 0.38/0.62 (step @p87 :rule process_scope :premises (@p180) :args (@t77)) % 0.38/0.62 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.38/0.62 (step @p90 :rule implies_elim :premises (@p89)) % 0.38/0.62 (step @p91 :rule eq_resolve :premises (@p90 @p81)) % 0.38/0.62 (step @p92 :rule chain_m_resolution :premises (@p91 @p78) :args (@t75 @t60 (@list @t70))) % 0.38/0.62 (step @p93 :rule cnf_equiv_pos1 :args (@t82)) % 0.38/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t76 @t81 (not @t82)))) % 0.38/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p62) :args (@t81 @t69 (@list @t75 @t82))) % 0.38/0.62 (step @p96 :rule cnf_and_pos :args (@t81 2)) % 0.38/0.62 (step @p97 :rule reordering :premises (@p96) :args ((or @t78 @t83))) % 0.38/0.62 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t78 @t67 @t84)) % 0.38/0.62 (step @p99 :rule symm :premises (@p98)) % 0.38/0.62 (step @p100 :rule bool-impl-elim :args (@t27 @t86)) % 0.38/0.62 (step @p101 :rule cong :premises (@p100) :args ((forall @t36 (=> @t27 @t86)))) % 0.38/0.62 (step @p102 :rule eq-symm :args (@t85 @t38)) % 0.38/0.62 (step @p103 :rule refl :args (@t38)) % 0.38/0.62 (step @p104 :rule eq-symm :args (@t39 @t23)) % 0.38/0.62 (step @p105 :rule cong :premises (@p104 @p103) :args (@t40)) % 0.38/0.62 (step @p106 :rule trans :premises (@p105 @p102)) % 0.38/0.62 (step @p107 :rule cong :premises (@p64 @p106) :args (@t41)) % 0.38/0.62 (step @p108 :rule cong :premises (@p107) :args (@t42)) % 0.38/0.62 (step @p109 :rule trans :premises (@p108 @p101)) % 0.38/0.62 (step @p110 :rule eq_resolve :premises (@p15 @p109)) % 0.38/0.62 (step @p111 :rule eq-symm :args (@t71 @t52)) % 0.38/0.62 (step @p112 :rule refl :args (@t87)) % 0.38/0.62 (step @p113 :rule cong :premises (@p112 @p111) :args (@t88)) % 0.38/0.62 (step @p114 :rule refl :args (@t58)) % 0.38/0.62 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t89)) % 0.38/0.62 (step @p116 :rule refl :args (@t90)) % 0.38/0.62 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t90 @t89))) % 0.38/0.62 (assume-push @p181 @t90) % 0.38/0.62 (step @p119 :rule instantiate :premises (@p110) :args (@t72)) % 0.38/0.62 (step-pop @p182 :rule scope :premises (@p119)) % 0.38/0.62 (step @p120 :rule process_scope :premises (@p182) :args (@t89)) % 0.38/0.62 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.38/0.62 (step @p123 :rule implies_elim :premises (@p122)) % 0.38/0.62 (step @p124 :rule chain_m_resolution :premises (@p123 @p110) :args (@t93 @t67 (@list @t90))) % 0.38/0.62 (step @p125 :rule cnf_or_pos :args (@t93)) % 0.38/0.62 (step @p126 :rule reordering :premises (@p125) :args ((or @t58 @t92 (not @t93)))) % 0.38/0.62 (step @p127 :rule chain_m_resolution :premises (@p126 @p75 @p124) :args (@t92 @t69 (@list @t57 @t93))) % 0.38/0.62 (step @p128 :rule instantiate :premises (@p61) :args ((@list @t71 @t51))) % 0.38/0.62 (step @p129 :rule instantiate :premises (@p1) :args (@t72)) % 0.38/0.62 (step @p130 :rule trans :premises (@p98 @p129)) % 0.38/0.62 (step @p131 :rule cnf_and_pos :args (@t81 1)) % 0.38/0.62 (step @p132 :rule reordering :premises (@p131) :args ((or @t79 @t83))) % 0.38/0.62 (step @p133 :rule chain_m_resolution :premises (@p132 @p95) :args (@t79 @t67 @t84)) % 0.38/0.62 (step @p134 :rule cnf_and_pos :args (@t81 0)) % 0.38/0.62 (step @p135 :rule reordering :premises (@p134) :args ((or @t80 @t83))) % 0.38/0.62 (step @p136 :rule chain_m_resolution :premises (@p135 @p95) :args (@t80 @t67 @t84)) % 0.38/0.62 (step @p137 :rule cnf_and_neg :args (@t95)) % 0.38/0.62 (step @p138 :rule reordering :premises (@p137) :args ((or (not @t80) (not @t79) @t95 (not @t94)))) % 0.38/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p133 @p130) :args (@t95 (@list false false false) (@list @t80 @t79 @t94))) % 0.38/0.62 (step @p140 :rule cnf_equiv_pos2 :args (@t96)) % 0.38/0.62 (step @p141 :rule reordering :premises (@p140) :args ((or @t87 (not @t95) (not @t96)))) % 0.38/0.62 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p128) :args (@t87 @t69 (@list @t95 @t96))) % 0.38/0.62 (step @p143 :rule cnf_equiv_pos1 :args (@t92)) % 0.38/0.62 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t87) @t91 (not @t92)))) % 0.38/0.62 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p127) :args (@t91 @t69 (@list @t87 @t92))) % 0.38/0.62 (step @p146 :rule refl :args (@t51)) % 0.38/0.62 (step @p147 :rule cong :premises (@p146 @p145) :args (@t97)) % 0.38/0.62 (step @p148 :rule trans :premises (@p147 @p99)) % 0.38/0.62 (step @p149 :rule eq-symm :args (@t15 @t1)) % 0.38/0.62 (step @p150 :rule cong :premises (@p149) :args (@t16)) % 0.38/0.62 (step @p151 :rule eq_resolve :premises (@p7 @p150)) % 0.38/0.62 (step @p152 :rule instantiate :premises (@p151) :args (@t68)) % 0.38/0.62 (step @p153 :rule symm :premises (@p152)) % 0.38/0.62 (step @p154 :rule cong :premises (@p153 @p148) :args ((tptp.multiplication (tptp.multiplication tptp.one @t50) @t97))) % 0.38/0.62 (step @p155 :rule refl :args (@t97)) % 0.38/0.62 (step @p156 :rule cong :premises (@p152 @p155) :args (@t98)) % 0.38/0.62 (step @p157 :rule eq-symm :args (@t98 @t53)) % 0.38/0.62 (step @p158 :rule refl :args (@t18)) % 0.38/0.62 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t18 @t99))) % 0.38/0.62 (assume-push @p183 @t18) % 0.38/0.62 (step @p161 :rule instantiate :premises (@p8) :args ((@list @t50 @t51 @t52))) % 0.38/0.62 (step-pop @p184 :rule scope :premises (@p161)) % 0.38/0.62 (step @p162 :rule process_scope :premises (@p184) :args (@t99)) % 0.38/0.62 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.38/0.62 (step @p165 :rule implies_elim :premises (@p164)) % 0.38/0.62 (step @p166 :rule chain_m_resolution :premises (@p165 @p8) :args ((= @t53 @t98) @t67 (@list @t18))) % 0.38/0.62 (step @p167 :rule trans :premises (@p166 @p156 @p154 @p53)) % 0.38/0.62 (step @p168 :rule refl :args (@t50)) % 0.38/0.62 (step @p169 :rule cong :premises (@p168 @p167) :args (@t55)) % 0.38/0.62 (step @p170 :rule trans :premises (@p169 @p48)) % 0.38/0.62 (step @p171 :rule true_elim :premises (@p170)) % 0.38/0.62 (step @p172 :rule cong :premises (@p167 @p168) :args (@t54)) % 0.38/0.62 (step @p173 :rule trans :premises (@p172 @p48)) % 0.38/0.62 (step @p174 :rule true_elim :premises (@p173)) % 0.38/0.62 (step @p175 :rule cnf_and_neg :args (@t56)) % 0.38/0.62 (step @p176 false :rule chain_m_resolution :premises (@p175 @p174 @p171 @p25) :args (false (@list false false true) (@list @t54 @t55 @t56))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------